What is the domain of (x-4)/(x^2+5x-36) ?

The domain of (x-4)/(x^2+5x-36) is x 4

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domain of (x-4)/(x^2+5x-36)

domain

\frac{x - 4}{x ^{2} + 5 x - 36}

x < - 9 or - 9 < x < 4 or x > 4

Interval Notation

(- \infty, - 9) \cup (- 9, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 9

The function domain

x < - 9 or - 9 < x < 4 or x > 4

f (x) = \frac{- 9 x - 6}{x - 2}

f (x) = - x^{2} - 4

\frac{x ^{2} - 1}{x + 2}

y = \frac{x ^{2} + 2 x - 3}{( x - 1 ) ( x ^{2} - 4 )}

f (x) = x^{9} - 6 x^{4} + 9

What is the domain of (x-4)/(x^2+5x-36) ?
The domain of (x-4)/(x^2+5x-36) is x<-9\lor-9<x<4\lor x>4